Mathematics & Statistics (School of): Recent submissions

Now showing items 101-105 of 421

    • Automatic semigroups : constructions and subsemigroups 

      Descalco, L. (University of St Andrews, 2002) - Thesis
      In this thesis we start by considering conditions under which some standard semigroup constructions preserve automaticity. We first consider Rees matrix semigroups over a semigroup, which we call the base, and work on the ...

    • Presentations for subsemigroups of groups 

      Cain, Alan James (University of St Andrews, 2005) - Thesis
      This thesis studies subsemigroups of groups from three perspectives: automatic structures, ordinary semigroup presentations, and Malcev presentaions. [A Malcev presentation is a presentation of a special type for a semigroup ...

    • Finiteness conditions of wreath products of semigroups and related properties of diagonal acts 

      Thomson, Michael R. (University of St Andrews, 2001) - Thesis
      The purpose of this thesis is to consider finite generation, finite presentability and related properties of restricted wreath products of semigroups. We show that the wreath product Awr B of two monoids is finitely generated ...

    • Todd-Coxeter methods for inverse monoids 

      Cutting, Andrew (University of St Andrews, 2001) - Thesis
      Let P be the inverse monoid presentation (X|U) for the inverse monoid M, let π be the set of generators for a right congruence on M and let u Є M. Using the work of J. Stephen [15], the current work demonstrates a coset ...

    • Fibonacci length and efficiency in group presentations 

      Campbell, Peter P. (University of St Andrews, 2003) - Thesis
      In this thesis we shall consider two topics that are contained in combinatorial group theory and concern properties of finitely presented groups. The first problem we examine is that of calculating the Fibonacci length of ...